Contents
What are quaternions good for?
Quaternions are vital for the control systems that guide aircraft and rockets. Let us think of an aircraft in flight. Instead of representing a change of orientation by three separate rotations, quaternions use just one rotation. This saves time and storage and also solves the problem of gimbal lock.
What is a quaternion inverse?
The quaternions have all of the same properties except that quaternion multiplication is not commutative. In general, q1*q2 != q2*q1. The inverse of a quaternion refers to the multiplicative inverse (or 1/q) and can be computed by q-1=q’/(q*q’) for any non-zero quaternion.
How do quaternions work unity?
Quaternions. Quaternions can be used to represent the orientation or rotation of a GameObject. This representation internally consists of four numbers (referenced in Unity as x, y, z & w) however these numbers don’t represent angles or axes and you never normally need to access them directly.
What are 4 squads soldiers?
…in an army is the squad, which contains 7 to 14 soldiers and is led by a sergeant. (A slightly larger unit is a section, which consists of 10 to 40 soldiers but is usually used only within headquarters or support organizations.) Three or four squads make up a platoon,… …
Which is the best application for the quaternions?
The majority of applications involve pure rotations, for this we restrict the quaternions to those with unit magnitude and we use only multiplications and not addition to represent a combination of different rotations.
Why do we use quaternions in computer graphics?
One of the most important reasons for using quaternions in computer graphics is that quaternions are very good at representing rotations in space. Quaternions overcome the issues that plague other methods of rotating points in 3D space such as Gimbal lock which is an issue when you represent your rotation with euler angles.
How to do addition and multiplication with quaternions?
The arithmetic of quaternions, such as how to do addition and multiplication, is explained on this page. On this page we will introduce quaternions as an extension of complex numbers with two additional imaginary dimensions, however there are other ways to think about quaternions and other notations for quaternions which are described on this page.
How to calculate the rotation of a quaternion?
The quaternion ‘i’ represents a rotation of 180 degrees about the x axis, the quaternion ‘j’ represents a rotation of 180 degrees about the y axis, the quaternion ‘k’ represents a rotation of 180 degrees about the y axis. So i*i = -1 represents a rotation of 360 degrees about the x axis.